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JEE Main · 2012 · 29 Apr 2012 · Offline · Mathematical Reasoning *

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The negation of the statement "If I become a teacher, then I will open a school" is
  1. (A)I will become a teacher and I will not open a school✓ Correct
  2. (B)Either I will not become a teacher or I will not open a school
  3. (C)Neither I will become a teacher nor I will open a school
  4. (D)I will not become a teacher or I will open a school

Answer: (A)

Solution

An implication of the form "if then " is logically equivalent to , so its negation is . Taking as "I become a teacher" and as "I will open a school", the negation reads: I will become a teacher and I will not open a school.

JEE Main · 2012 · 29 Apr 2012 · Offline · Single correct option

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